2L 2s
IMPORTED REVISION FROM WIKISPACES
This is an imported revision from Wikispaces. The revision metadata is included below for reference:
- This revision was by author JosephRuhf and made on 2015-09-13 18:52:52 UTC.
- The original revision id was 559134671.
- The revision comment was:
The revision contents are below, presented both in the original Wikispaces Wikitext format, and in HTML exactly as Wikispaces rendered it.
Original Wikitext content:
This tetrad has the special property that it is the smallest collection of notes which can create the feeling of "completely representing<span style="line-height: 1.5;">" a particular regular temperament in a "standard" way. However, it only works in even-numbered edxs, for it contains sqrt(x), and it becomes a very weakly "complete" representation of a regular temperament as L:s grows large.</span> Golden bi-equal tetrad: major 0-phi-phi+1-2*phi+1, minor 0-1-phi+1-phi+2/(2*phi+2)edx in edo: major 0-370.82-600-970.82 cents, minor 0-229.18-600-829.18 cents Natural logarithm bi-equal tetrad: major 0-e-e+1-2e+1, minor 0-1-e+1-e+2/(2e+2)edx in edo: major 0-438.635.82-600-1038.635 cents, minor 0-162.365-600-762.365 cents Bi-equal wheel tetrad: major 0-pi-pi+1-tau+1, minor 0-1-pi+1-pi+2/(2*tau+2)edx in edo: major 0-455.128-600-1055.128 cents, <span style="line-height: 1.5;">minor 0-144.872-600-744.872 cents</span>
Original HTML content:
<html><head><title>2L 2s</title></head><body>This tetrad has the special property that it is the smallest collection of notes which can create the feeling of "completely representing<span style="line-height: 1.5;">" a particular regular temperament in a "standard" way. However, it only works in even-numbered edxs, for it contains sqrt(x), and it becomes a very weakly "complete" representation of a regular temperament as L:s grows large.</span><br /> Golden bi-equal tetrad: major 0-phi-phi+1-2*phi+1, minor 0-1-phi+1-phi+2/(2*phi+2)edx <br /> in edo: major 0-370.82-600-970.82 cents, minor 0-229.18-600-829.18 cents<br /> Natural logarithm bi-equal tetrad: major 0-e-e+1-2e+1, minor 0-1-e+1-e+2/(2e+2)edx<br /> in edo: major 0-438.635.82-600-1038.635 cents, minor 0-162.365-600-762.365 cents<br /> Bi-equal wheel tetrad: major 0-pi-pi+1-tau+1, minor 0-1-pi+1-pi+2/(2*tau+2)edx<br /> in edo: major 0-455.128-600-1055.128 cents, <span style="line-height: 1.5;">minor 0-144.872-600-744.872 cents</span></body></html>